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      A link between menger’s theorem and infinite euler graphs 

      Boza Prieto, Luis; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto; Quintero Toscano, Antonio Rafael (Akadémiai Kiadó, 1997)
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      Extremal Graphs without Topological Complete Subgraphs 

      Cera López, Martín; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (2004)
      The exact values of the function $ex(n;TK_{p})$ are known for ${\lceil \frac{2n+5}{3}\rceil}\leq p < n$ (see [Cera, Diánez, ...
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      On average connectivity of the strong product of graphs 

      Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Elsevier, 2013)
      The average connectivity κ(G) of a graph G is the average, over all pairs of vertices, of the maximum number of internally ...
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      On Generalized 3-Connectivity of the Strong Product of Graphs 

      Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (University of Belgrade, 2018)
      Let G be a connected graph with n vertices and let k be an integer such that 2 k n. The generalized connectivity ...
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      On infinite outerplanar graphs 

      Boza Prieto, Luis; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (Institute of Mathematics of the Czech Academy of Sciences, 1994)
      In this Note, we study infinite graphs with locally finite outerplane embeddings, given a characterization by forbidden subgraphs
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      On Sedlacek's C-Graphs 

      Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (Societatea de Științe Matematice din România, 1993)
      In this Note, we study some properties of Sedlacek's C-graphs (see [3], [4] and [5]). In particular, we give new methods ...
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      Size of graphs with high girth 

      Abajo Casado, María Encarnación; Diánez Martínez, Ana Rosa (Elsevier, 2007)
      Let n≥4 be a positive integer and let ex (ν;{C3, . . . , Cn}) denote the maximum number of edges in a {C3, . . . , Cn}-free ...
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      The center of an infinite graph 

      Boza Prieto, Luis; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (1996)
      In this note we extend the notion of the center of a graph to infinite graphs. Thus, a vertex is in the center of the ...
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      The Menger number of the strong product of graphs 

      Abajo Casado, María Encarnación; Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Elsevier, 2013)
      The xy-Menger number with respect to a given integer ℓ, for every two vertices x, y in a connected graph G, denoted by ...
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      The Size of a Graph Without Topological Complete Subgraphs 

      Cera López, Martín; Diánez Martínez, Ana Rosa; Márquez Pérez, Alberto (2000)
      In this note we show a new upperbound for the function ex(n;TKp), i.e., the maximum number of edges of a graph of order n ...
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      Toughness of the corona of two graphs 

      Moreno Casablanca, Rocío; Diánez Martínez, Ana Rosa; García Vázquez, Pedro (Taylor and Francis, 2011)
      The toughness of a non-complete graph G = (V , E) is defined as τ (G) = min{|S|/ω(G − S)}, where the minimum is taken ...